Answer:
12
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 9)² + (y - 4)² = 36 ← is in standard form
with r² = 36 ⇒ r = 
= 6
diameter = 2 × r = 2 × 6 = 12
Answer: There are 35 spellers participated in the spelling bee.
Step-by-step explanation:
Since we have given that
Rank of Anish's placement at the highest = 11 th
Rank of Anish's placement at the lowest = 25 th
We need to find the number of spellers participated in the spelling bee.
So, Number of spellers participated in the spelling bee is given by
Highest + Lowest - 1
= 11 + 25 - 1
= 36 - 1
= 35
Hence, there are 35 spellers participated in the spelling bee.
Answer:
The answer to your question is x = 
or x = 5
Step-by-step explanation:
To solve this problem use the Pythagorean theorem because two right triangles are formed.
c² = a² + b²
c = 10
a = x
b = x Because in a square all the sides measure the same.
10² = x² + x²
- Simplify
100 = 2x²
x² = 100/2
x² = 50
x = or x = 5
Answer:
, x>=0
Step-by-step explanation:
To find the inverse function , replace f(x) by y
Replace x with y and y with x
Solve the equation for y
take square root on both sides
Now subtract 6 from both sides
replace y with g(x)
Answer:
-23x^3+20x^4+25x^2+84x-84
Step-by-step explanation:
1 Expand by distributing sum groups.
4x^2(3x+5x^2-6)-7x(3x+5x^2-6)+14(3x+5x^2-6)
2 Expand by distributing terms.
12x^3+20x^4-24x^2-7x(3x+5x^2-6)+14(3x+5x^2-6)
3 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+14(3x+5x^2-6)
4 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+42x+70x^2-84
5 Remove parentheses.
12x^3+20x^4-24x^2-21x^2-35x^3+42x+42x+70x^2-84
6 Collect like terms.
(12x^3-35x^3)+20x^4+(-24x^2-21x^2+70x^2)+(42x+42x)-84
7 Simplify.
-23x^3+20x^4+25x^2+84x-84
